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Finding the Third Proportional to 174,312 and 376,272

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Solution

The third proportional to 174,312 and 376,272 is: 812,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,312 : 376,272 = 376,272 : x
  2. Step 2: Convert to fraction form
    174,312/376,272 = 376,272/x
  3. Step 3: Cross multiply
    174,312x = 376,272 × 376,272
  4. Step 4: Simplify right side
    174,312x = 141,580,617,984
  5. Step 5: Solve for x
    x = 141,580,617,984/174,312
  6. Step 6: Final answer
    x = 812,225.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.